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Differential amplifier opamps common-mode gain

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paulmdrdo

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I'm having a hard time deriving for equations 10-8 -10-9.
1592422056385.png

1592422080008.png


i tried adding equations 10-6 and 10-7 but still can't proceed to proper derivation. Any help is appreciated.
 

i tried adding equations 10-6 and 10-7 but still can't proceed to proper derivation.

Sometimes I put a potentiometer at the inverting input, to make it easy to vary gain.

It also helps clarify something about how gain works in the op amp: The input grabs a portion of the incoming voltage (R1) and a portion of the output voltage (R2). Somewhere in the inverse feedback relationship (somewhere) is a certain amount of gain.

That function can be defined by a simple formula (-R2/R1), but then you need to throw in the effect of the non-inverting input, making it more complicated, doesn't it?

op amp potentiometer gain adjust min to max.png


I suppose it's possible to merge the equations into one equation for some situations but maybe not for all situations.

I guess my reply doesn't solve your question but we can see that a lot goes on within an op amp.
 

This might help, attached.

Regards, Dana.
 

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  • CMR Analysis IA.pdf
    170.7 KB · Views: 65

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  • Bob Pease Lab Notes Part 9.pdf
    15.5 MB · Views: 62
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